Relativistic versus Newtonian Frames

J.-F. Pascual-Sánchez, A. San Miguel, F. Vicente

Departmento de Matemática Aplicada, Facultad de Ciencias, Universidad de Valladolid, Valladolid, Spain.
IMUVA and Departmento de Matemática Aplicada, E.I.I., Universidad de Valladolid, Valladolid, Spain.

DOI: 10.4236/pos.2013.41011                

Abstract

Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian space-time, is privileged to construct a generic, gravity free and immediate (non retarded) relativistic positioning system. This is the causal class of the null emission coordinates. Emission coordinates are defined and generated by four emitters broadcasting their proper times. The emission coordinates are covariant (frame independent) and hence valid for any user. Any observer can obtain the values of his (her) null emission coordinates from the emitters which provide him his (her) position and trajectory.

Keywords

Null Emission Coordinates; Location Systems; Causal Class; Relativistic Positioning System; Gravimetry

Conflicts of Interest

The authors declare no conflicts of interest.

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